102010001002001 has 8 divisors (see below), whose sum is σ = 102022797076200. Its totient is φ = 101997205689600.

The previous prime is 102010001001947. The next prime is 102010001002031. The reversal of 102010001002001 is 100200100010201.

It can be written as a sum of positive squares in 4 ways, for example, as 3126884890000 + 98883116112001 = 1768300^2 + 9943999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102010001002001 - 2³⁴ = 101992821132817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102010001002001.

It is not an unprimeable number, because it can be changed into a prime (102010001002031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295827155 + ... + 296171783.

It is an arithmetic number, because the mean of its divisors is an integer number (12752849634525).

Almost surely, 2^{102010001002001} is an apocalyptic number.

It is an amenable number.

102010001002001 is a deficient number, since it is larger than the sum of its proper divisors (12796074199).

102010001002001 is a wasteful number, since it uses less digits than its factorization.

102010001002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380899.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010001002001 its reverse (100200100010201), we get a palindrome (202210101012202).

The spelling of 102010001002001 in words is "one hundred two trillion, ten billion, one million, two thousand, one".